英语翻译The conditions can be indicated in a linear graph as sho

英语翻译
The conditions can be indicated in a linear graph as shown in Fig.2.The junction points correspond to the
DASH
DOT
DASH
DOT
LETTER SPACE
WORD SPACE
Fig.2—Graphical representation of the constraints on telegraph symbols.
states and the lines indicate the symbols possible in a state and the resulting state.In Appendix 1 it is shown
that if the conditions on allowed sequences can be described in this form C will exist and can be calculated
in accordance with the following result:
Theorem 1:Let b(s)
i j be the duration of the sth symbol which is allowable in state i and leads to state j.
Then the channel capacity C is equal to logW where W is the largest real root of the determinant equation:
åsW 􀀀b
(
s
)
i j 􀀀i j
= 0
where i j = 1 if i = j and is zero otherwise.
For example,in the telegraph case (Fig.2) the determinant is:
􀀀1 (W􀀀2+W􀀀4)
(W􀀀3+W􀀀6) (W􀀀2+W􀀀4􀀀1)
= 0:
On expansion this leads to the equation given above for this case.
2.THE DISCRETE SOURCE OF INFORMATION
We have seen that under very general conditions the logarithm of the number of possible signals in a discrete
channel increases linearly with time.The capacity to transmit information can be specified by giving this
rate of increase,the number of bits per second required to specify the particular signal used.

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